Judge the equivalent resistance

Question.
Judge the equivalent resistance when the following are connected in parallel

(a) $1 \Omega$ and $10^{6} \Omega$

(b) $1 \Omega, 10^{3} \Omega$ and $10^{6} \Omega$.

solution:

(a) Approx. $1 \Omega$ (slightly less than $1 \Omega$ ) as other one $\left(10^{6} \Omega\right)$ is very large as compared to $1 \Omega$. In parallel combination of resistors, the equivalent resistance is lesser than the least resistance (in this case, $1 \Omega$ ).

(b)Again, resistance is approx. $1 \Omega$ (slightly less than $1 \Omega$ ).

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